2563057728 has 280 divisors, whose sum is σ = 9473939904. Its totient is φ = 665625600.

The previous prime is 2563057669. The next prime is 2563057753. The reversal of 2563057728 is 8277503652.

2563057728 is a `hidden beast` number, since 2 + 5 + 630 + 5 + 7 + 7 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 395958 + ... + 402378.

Almost surely, 2^2563057728 is an apocalyptic number.

2563057728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736969952).

2563057728 is an abundant number, since it is smaller than the sum of its proper divisors (6910882176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2563057728 is a wasteful number, since it uses less digits than its factorization.

2563057728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6463 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2563057728 is about 50626.6503730989. The cubic root of 2563057728 is about 1368.5251907759.

The spelling of 2563057728 in words is "two billion, five hundred sixty-three million, fifty-seven thousand, seven hundred twenty-eight".